Graph the circle. $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$

Name: Graph the circle. $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$
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Question

Quizplus · Accepted Answer

The equation of a circle is given by $(x-h)^2+(y-k)^2=r^2$, where $(h,k)$ is the center of the circle and $r$ is the radius. Comparing this to the given equation $(x-3)^2+(y-1)^2=9$, we see that the center is at $(3,1)$ and the radius is $\sqrt{9}=3$. Therefore, the circle has center $(3,1)$ and radius $3$, which matches option B.

Graph the Circle (x−3)2+(y−1)2=9( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9(x−3)2+(y−1)2=9

Graph the Circle $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 9$